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f^2 x f^3
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144^14/144^2
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x^11/x^4
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write the value of the expression 4^5/4^5
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how about 3^3/3^6
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This expression can be simplified using the Product of Powers Rule, which states that when you multiply two expressions with the same base, you add their exponents:

f^2 × f^3 = f^(2+3) = f^5

Therefore, f^2 × f^3 simplified is f^5.
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When dividing exponential expressions with the same base, you can apply the Quotient of Powers Rule, which states that you subtract the exponents:

144^14/144^2 = 144^(14-2)

Simplifying the exponent, we get:

144^12

Therefore, 144^14/144^2 simplified is 144^12.
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When dividing exponential expressions with the same base, you can apply the Quotient of Powers Rule, which states that you subtract the exponents:

x^11/x^4 = x^(11-4)

Simplifying the exponent, we get:

x^7

Therefore, x^11/x^4 simplified is x^7.
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The expression 4^5/4^5 can be simplified as follows:

4^5/4^5 = 1

Therefore, the value of the expression 4^5/4^5 is 1.
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The expression 3^3/3^6 can be simplified as follows:

3^3/3^6 = 1/3^(6-3) = 1/3^3

Therefore, the value of the expression 3^3/3^6 is 1/27.